Atkin-Lehner |
3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92781h |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2790363802473 = 36 · 137 · 61 |
Discriminant |
Eigenvalues |
1 3- 2 4 4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24621,1490984] |
[a1,a2,a3,a4,a6] |
j |
469097433/793 |
j-invariant |
L |
6.4495085507459 |
L(r)(E,1)/r! |
Ω |
0.8061885741197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10309c1 7137e1 |
Quadratic twists by: -3 13 |